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mattbaker.blog | ||
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qchu.wordpress.com
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| | | | | Let $latex k$ be a commutative ring. A popular thing to do on this blog is to think about the Morita 2-category $latex \text{Mor}(k)$ of algebras, bimodules, and bimodule homomorphisms over $latex k$, but it might be unclear exactly what we're doing when we do this. What are we studying when we study the Morita... | |
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stephenmalina.com
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| | | | | Selected Exercises # 5.A # 12. Define $ T \in \mathcal L(\mathcal P_4(\mathbf{R})) $ by $$ (Tp)(x) = xp'(x) $$ for all $ x \in \mathbf{R} $. Find all eigenvalues and eigenvectors of $ T $. Observe that, if $ p = a_0 + a_1 x + a_2 x^2 + a_3 x^3 + a_4 x^4 $, then $$ x p'(x) = a_1 x + 2 a_2 x^2 + 3 a_3 x^3 + 4 a_4 x^4. | |
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www.daniellitt.com
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lisyarus.github.io
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